Help please!!!!!!!!!!!!!
Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
Answer:
The required table is:
Position 1 5 8 12 19 25
Term -8 8 20 36 64 88
Step-by-step explanation:
The general formula for arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
where n is the nth term, a₁ is the first term and d is the difference.
Looking at the table, we know that
a₁ = -8 and
a₂₅ = 88
We can find the common difference d:
[tex]a_n=a_1+(n-1)d\\n=25, a_1=-8, a_{25}=88\\a_{25}=a_1+(25-1)d\\88=-8+24(d)\\88+8=24\:d\\96=24\:d\\d=\frac{96}{24}\\d=4[/tex]
So, we have d = 4
Now we can fill the remaining table.
We have to find position n, when term (a_n) is 8
[tex]a_n=a_1+(n-1)d\\8=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\8+12=4n\\20=4n\\n=\frac{20}{4}\\n=5[/tex]
So, when term is 8, position is 5
We have to find term a_n when position n is 8
[tex]a_n=a_1+(n-1)d\\a_8=-8+(8-1)4\\a_8=-8+7(4)\\a_8=-8+28\\a_8=20[/tex]
So, when position is 8 term is 20
We have to find position n, when term (a_n) is 36
[tex]a_n=a_1+(n-1)d\\36=-8+(n-1)4\\8=-8+4n-4\\8=-12+4n\\36+12=4n\\48=4n\\n=\frac{48}{4}\\n=12[/tex]
So, when term is 36, position is 12
We have to find term a_n when position n is 19
[tex]a_n=a_1+(n-1)d\\a_{19}=-8+(19-1)4\\a_{19}=-8+18(4)\\a_{19}=-8+72\\a_{19}=64[/tex]
when position is 19 term is 64
So, the required table is:
Position 1 5 8 12 19 25
Term -8 8 20 36 64 88
Given m||n, find the value of x
Answer:
143
Step-by-step explanation:
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
The map shows the locations of several different places. Each unit on the grid represents 1 block. Mr. Johnson wants to open a fruit stand, but he wants it to be at least 3 blocks from any of the other places shown on the map. Select the locations where Mr. Johnson could open his fruit stand. Check all that apply.
a. (-4,4)
b. (2,1)
c. (-4,0)
d. (-1,-2)
HELP ME PLEASE!!!!!!
Answer:
A) y=4x
B) Linear
c) can't see the vocab bank
Step-by-step explanation:
In a survey, one-fifth youths like cell phone only and 16 did not like cell phone at all. Also 60%
youths like camera but 8 like none of them.
(i) Show the above information in a Venn diagram.
(ii) How many youths like both the things?
Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x
then,
Only (c)=n(c)-n(cnp)
16=0.6x-n(cnp)
n(cnp)=0.6x-16
again,
n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement
x=x/5+16+0.6x-16+8
5x=x+3x+40
x=40
n(cnp)=0.6x-16=0.6×40-16=8
Step-by-step explanation:
factor x(20-x)=96 its for solving quadratics
Answer:
Answer and steps in the picture
Jordan bought pants that were $29.95. The sales tax amount is 9%. What is the amount of sales tax? What is the total cost of the pants (cost + tax)? Solve any way you wish, showing your thinking.
Answer:
$32.65
Step-by-step explanation:
To find the tax, multiply 29.95 by .09. This gets us 2.6955. We can round this to $2.70. Now, we add the tax to the cost of the pants. This gets us 32.65. This means the total cost, with tax, is $32.65.
Describe how the graph of y= x^2 can be transformed to the graph of the given equation.
y = (x - 12)^2 + 3 (5 points)
a) Shift the graph of y = x2 up 12 units and then right 3 units.
b) Shift the graph of y = x2 left 12 units and then down 3 units.
c) Shift the graph of y = x2 left 12 units and then up 3 units.
d) Shift the graph of y = x2 right 12 units and then up 3 units.
Answer:
We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Please check the attached graph.
Step-by-step explanation:
Given the parent function
y = x²
Given the transformed function
y = (x - 12)²
Horizontal Translation:
The horizontal translation of y = x² is of the form
f(x-h)
so y = y = (x - 12)² means y = x² is shifted 12 right.
Vertical Translation:
y = x²
Then y = x² + b is a vertical translation of y = x²
if b > 0, then y = x² + b is the graph of y = x² 'b' units up.
if b < 0, then y = x² + b is the graph of y = x² 'b' units down.
Thus, y = x² + 3 means the graph y = x² is vertically shifted up by 2 units.
Please check the attached graph.
The blue graph is representing the graph of y = x². The red graph is representing the graph of y = (x - 12)²+3Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.
Hence, option D is true.
Answer:
Shift the graph of y = x2 right 12 units and then up 3 units.
Step-by-step explanation:
ghost app at yofav_tai
The total number of students in the seventh grade is 9 more than 4 times as many students as are in the art class. There are 101 students in the seventh grade. Write and solve an equation to find the number of students in the art class. Let x represent the number of students in the art class.
Answer:
9 + 4x = 101
Step-by-step explanation:
9 + 4x = 101 Equation
( +9 - 9 ) + 4x = ( 101 - 9 ) Subract 9 on both sides
4x = 92 Simplify
x = 23 Divide 4 on both sides
23 people in art class
I’ll love you forever if you help me wit dis ASAP
Answer:
the first is 14cm and second is 20.4cm
Step-by-step explanation:
5. A tree is broken at a height of 5 m from the ground
and its top touches the ground at a distance of
12 m from the base of the tree. Find the original
height of the tree.
The original height of the tree is 60 m
Answer:
Step-by-step explanation:
the base of the triangle that the fallen tree makes up is 12 and the up right is 5 the tree top is the hypotenuse of this triangle :)
treeTop= [tex]\sqrt{12^2+5^{2} } }[/tex]
treeTop = [tex]\sqrt{169}[/tex]
treeTop = 13
13+5 = treeHeight
18 = treeHeight
Which equation can be used to determine the percent of the diagram that one section represents?
1/10=1/100=1%
1/10=10/100=10%
1/100=1/10=1%
1/100=10/10=10#
Answer:
First one
Step-by-step explanation:
Use the graph to find the value of y = sin q for the value of q.
90°
Answer:
[tex]\huge y = \sin(q) = \sin(90°) = 1[/tex]
d. 1 is the right answer.The function y=3.75x+2.5 represents the cost y(in dollars) of a taxi ride of x miles.
A) Identify the independent and dependent variables.
B) Find the maximum number of miles you could travel if you only had 20 dollars.
Answer:
happy new year
Step-by-step explanation:
i am your biggest fan I am your teacher you fill
A car traveled 150 miles on 5 gallons of gas. Find the unit rate.
Answer:
30m per gallon
Step-by-step explanation:
150m/5g= 30m/g
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
2/3 is what % of 1/4
Answer: 266.66%
Step-by-step explanation:
(2/3)/(1/4) = (2/3)(4/1) = 8/3 = 2 2/3 = 2.6666 = 266.66%
Question 5(Multiple Choice Worth 1 points)
(02.04 MC)
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, as shown in the graph:
There is a graph of a line with Years on the x axis and Profits in millions on the y axis that passes through 0, negative 20 and 4, 10.
Which equation most closely represents the line depicted in the graph?
f(x) = −10x + 4
f of x equals fifteen halves times x minus 20
f(x) = 10x − 4
f of x equals two fifteenths times x minus 20
Given:
The graph passes through the points (0,-20) and (4,10).
To find:
The equation of line that most closely represents the line depicted in the graph.
Solution:
If a line passing through two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The given line passes through the points (0,-20) and (4,10). So, the equation of line is
[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]
[tex]y+20=\dfrac{10+20}{4}(x)[/tex]
[tex]y+20=\dfrac{30}{4}x[/tex]
[tex]y+20=\dfrac{15}{2}x[/tex]
Subtracting 20 from both sides, we get
[tex]y=\dfrac{15}{2}x-20[/tex]
The function form is
[tex]f(x)=\dfrac{15}{2}x-20[/tex]
f of x equals fifteen halves times x minus 20.
Therefore, the correct option is B.
Answer:
Your answer is B
Step-by-step explanation:
f of x equals fifteen halves times x minus 20
What is the distance between points A and B?
A number line going from 0 to 2 in increments of 1. There are 3 equal spaces between each number. Point A is one mark to the right of 1. Point B is one mark to the right of point A.
One-third
One-half
1 One-third
1 One-half
Answer:
one-third
Step-by-step explanation:
A B
<-------+---------+---------+---------+--------+---------+---------+--------------->
0 1 1 1/3 1 2/3 2
Since each unit is divided into three equal spaces, each space is 1/3 of a unit.
Between any two consecutive marks, the distance is 1/3 unit.
Answer: one-third
Use synthetic division to find the remainder if polynomial P(x) = x3 - 28x - 48 is
divided by x + 4.
O A) 1
B) 2
O C) 3
D) o
Answer:
Step-by-step explanation:
√ = divided into
[tex]x^{2}[/tex]- 4x -12
x+4 √ [tex]x^{3}[/tex]- 0[tex]x^{2}[/tex] -28x -48
-([tex]x^{3}[/tex] + 4[tex]x^{2}[/tex])
-4[tex]x^{2}[/tex]-28x-48
-(-4[tex]x^{2}[/tex]-16x)
-12x - 48
-(-12x - 48)
0 Remainder
so the answer is D
The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given as,
P(x) = x³ - 28x - 48
Let's check if x + 4 = 0 is a factor or not. Then we have
x + 4 = 0
x = - 4
At x = -4, the value of the polynomial is given as,
P(x) = (-4)³ - 28(-4) - 48
P(x) = - 64 + 112 - 48
P(x) = - 112 + 112
P(x) = 0
The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.
More about the polynomial link is given below.
https://brainly.com/question/17822016
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plzzzzzzzzzzzzzzzzzzzz
Answer:
Simplify ans: 3 x^2 y^-4
a no = x( x+2)
b no = 2x(x- 3)
c no = 5x(3- 2x^2)
d no.= 3x^2( 3+ x)
Hope this helps you
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] ( m > n)
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇒ [tex]\frac{1}{a^{(n-m)} }[/tex] ( n > m )
Given
[tex]\frac{21x^6y^5}{14x^2y^9}[/tex]
= [tex]\frac{21}{14}[/tex] × [tex]x^{(6-2)}[/tex] × [tex]\frac{1}{y^{(9-5)} }[/tex]
= [tex]\frac{3}{2}[/tex] × [tex]x^{4}[/tex] × [tex]\frac{1}{y^{4} }[/tex]
= [tex]\frac{3x^4}{2y^4}[/tex] ← with positive exponents
--------------------------------------------------
(a)
x² + 2x ← factor out x from each term
= x(x + 2)
(b)
2x² - 6x ← factor out 2x from each term
= 2x(x - 3)
(c)
15x - 10x³ ← factor out 5x from each term
= 5x(3 - 2x²)
(d)
9x² + 3x³ ← factor out 3x² from each term
= 3x²(3 + x)
Acar is traveling at 65 miles per hour. What happens to the number of miles when the number of hours changes?
When the number of hours increases the number of miles decreases
When the number of hours increases the number of miles increases.
When the number of hours decreases the number of miles increases.
When the number of hours decreases the number of miles stays the same.
QuestiOh
Classify the following triangle as acute, obtuse, or right.
OA. Obtuse
OB. Acute
OC. Right
OD. None of these
The triangle is an acute triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of angles of the triangle are
The measure of ∠ABC = 50°
The measure of ∠BAC = 50°
The measure of ∠ACB = 80°
So , all the angles of the triangle are less than 90°
So , it is an acute triangle
Hence , the triangle is acute
To learn more about triangles click :
https://brainly.com/question/16739377
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2. You are rolling a number cube. What is the probability that you will roll a
3? Answer in fraction form only.
Answer:
Step-by-step explanation:
1/2
1,000,000,000,000,000,000,000+1,111,111,111
Answer:
1,000,000,000,000,001,111,111
I need help pls help me answer this ASAP!!!
One die is tossed and then another die is tossed. How many outcomes are possible for the two dice?
Answer:
i think its 36!
Step-by-step explanation:
6 x 6+36
Find the measure of angle x. _
[tex]x + 120 = 180[/tex]
(linear pair of angles)
[tex]x = 180 - 120[/tex]
[tex]x = 60[/tex]
Daryl biked for 12 minutes and traveled 1.6 miles. If He kept the same pace, how far would he travel in 3.5 hours? please show work if possible!!!!
Answer:
27.999999993 or 27.9 or 28 (rounded) miles.
Step-by-step explanation:
Find out how many miles he goes every minute.
(1.6 ÷ 12 = 0.13 recurring (0.1333333333)
3.5 hours = (60 × 3) + 30 = 210 minutes
Multiply 0.13 recurring (0.1333333333) by 210 mins.
210 × 0.13 recurring (above number) = 27.999999993 (You can round this up to the nearest whole number), which is 28 if the question asks you to but as it uses 1.6 miles, you can leave it as 27.9 or even leave the long decimal if you're not entirely sure.
Hope this helps. :)